Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.3s (25.5%)

Results

1.9s	3952×	body	1024	valid
1.8s	2130×	body	2048	valid
542.0ms	1393×	body	512	valid
108.0ms	776×	body	256	valid
6.0ms	5×	body	4096	valid

Bogosity

preprocess18.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

144×	`fma-def`
80×	`associate--r+`
72×	`associate-+l-`
56×	`+-commutative`
48×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
42×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

39.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	4.3b	(cos.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(cos.f64 (+.f64 x eps))
1.0ms	eps	@	inf	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	eps	@	0	(cos.f64 (+.f64 x eps))
0.0ms	eps	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms	x	@	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite121.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`*-commutative`
908×	`associate-*r/`
752×	`distribute-lft-in`
736×	`distribute-rgt-in`
690×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	212	32
2	3121	32

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
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Outputs

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simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-+l-`
1152×	`associate-+r-`
828×	`fma-def`
724×	`associate--r+`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	456	10932
1	1283	10512
2	5920	10512

Stop Event

1×	node limit

Counts

208 → 286

Calls

Call 1

Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
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(*.f64 (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) 1) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))

Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (pow.f64 (cos.f64 x) 4)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 4) (fma.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (pow.f64 (cos.f64 x) 6)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)) (fma.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 (+.f64 eps x)) 6))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (.f64 (+.f64 eps (+.f64 x x)) 1/2))) (cos.f64 (+.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) -2) 2)
(/.f64 (-.f64 (cos.f64 (.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x)))) (cos.f64 (.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 eps x) x))))) -1)
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (.f64 (cos.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (.f64 (cos.f64 (.f64 1/2 (+.f64 (+.f64 eps x) x))) (cos.f64 (.f64 1/2 (+.f64 x (-.f64 eps x))))) 2))
(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (cos.f64 (.f64 1/2 (fma.f64 2 x eps))) (cos.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))))) 1/2)
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

eval122.0ms (0.7%)

Compiler: Compiled 7078 to 2227 computations (68.5% saved)

prune150.0ms (0.9%)

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	245	41	286
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	42	287

Error

0.2b

Counts

287 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
▶	33.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
	48.6b	(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	40.0b	(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
	39.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	23.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	33.8b	(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
	48.6b	(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
▶	40.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	23.3b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x))
	23.3b	(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
	56.2b	(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
	23.1b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	41.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	41.7b	(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	40.0b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
▶	23.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.7b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	39.9b	(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	45.7b	(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
	39.8b	(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓	39.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.3b	(-.f64 (cos.f64 x) (cos.f64 x))
	39.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
▶	39.4b	(-.f64 (cos.f64 eps) 1)
	39.9b	(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	41.6b	(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
▶	6.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.1b	(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
	34.1b	(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
	39.8b	(.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
	33.7b	(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
	39.6b	(*.f64 (neg.f64 eps) (sin.f64 x))
	40.0b	(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
	16.7b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
	39.8b	(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.8b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	56.0b	(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	47.8b	(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	39.8b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))

Compiler

Compiled 1439 to 898 computations (37.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 (cos.f64 x) (cos.f64 eps))
✓	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.9b	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))

Compiler

Compiled 54 to 12 computations (77.8% saved)

series8.0ms (0%)

Counts

4 → 92

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	eps	@	inf	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
1.0ms	x	@	inf	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
1.0ms	eps	@	0	(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
0.0ms	eps	@	0	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))

rewrite158.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`associate-*r/`
1374×	`associate-*l/`
628×	`associate-+l+`
354×	`add-sqr-sqrt`
346×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	328	72
2	4890	72

Stop Event

1×	node limit

Counts

4 → 325

Calls

Call 1

Inputs
(+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (cos.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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(.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (cos.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 -1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 1 (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (cos.f64 eps))) 2) (.f64 (cos.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) (exp.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 x) (+.f64 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simplify218.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-r`
1242×	`associate-l`
1010×	`+-commutative`
832×	`associate-/r*`
796×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	844	22979
1	2513	22545

Stop Event

1×	node limit

Counts

417 → 647

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) 1) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))) 1) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) 1) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) 1) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) 1) (neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) (.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 2))) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) 3)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2)) (.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2))) (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 2))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3)) (.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))) (-.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2) (.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3)) (-.f64 (.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (pow.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)))))
(pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))

Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (*.f64 x x)) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x) (*.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4))) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 (+.f64 1/720 (.f64 -1/720 (cos.f64 eps))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)) (.f64 (-.f64 (.f64 1/24 (cos.f64 eps)) 1/24) (pow.f64 x 4))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/720 (.f64 (cos.f64 eps) -1/720)) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x) (.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (+.f64 1/720 (.f64 (cos.f64 eps) -1/720)) (pow.f64 x 6) (fma.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x) (.f64 (fma.f64 1/24 (cos.f64 eps) -1/24) (pow.f64 x 4)))) -1))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))
(.f64 (.f64 -1/2 (cos.f64 x)) (*.f64 eps eps))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
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(pow.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3) 1/3)
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(fma.f64 1 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 1 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 2))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 eps x)))

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 eps)
✓	1.9b	(-.f64 (cos.f64 eps) 1)

Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(-.f64 (cos.f64 eps) 1)
0.0ms	eps	@	0	(cos.f64 eps)
0.0ms	eps	@	inf	(-.f64 (cos.f64 eps) 1)
0.0ms	eps	@	-inf	(-.f64 (cos.f64 eps) 1)
0.0ms	eps	@	-inf	(cos.f64 eps)

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`add-sqr-sqrt`
1348×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1244×	`add-cbrt-cube`
1232×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	142	16
2	1718	16

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(cos.f64 eps)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/r*`
720×	`*-commutative`
692×	`fma-def`
676×	`unswap-sqr`
540×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1138
1	272	960
2	1156	930
3	4554	930

Stop Event

1×	node limit

Counts

58 → 79

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 1 (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(.f64 (sqrt.f64 (cos.f64 eps)) (.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (.f64 (cbrt.f64 (cos.f64 eps)) 1))
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(log.f64 (exp.f64 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (cos.f64 eps)))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.f64 (cos.f64 eps) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(.f64 (sqrt.f64 (cos.f64 eps)) (.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (.f64 (cbrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(log.f64 (exp.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 eps eps))
✓	0.0b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 eps (neg.f64 (sin.f64 x)))

Compiler

Compiled 38 to 13 computations (65.8% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
1.0ms	eps	@	0	(*.f64 eps (neg.f64 (sin.f64 x)))
0.0ms	x	@	-inf	(*.f64 eps (neg.f64 (sin.f64 x)))
0.0ms	eps	@	inf	(*.f64 eps (neg.f64 (sin.f64 x)))
0.0ms	x	@	inf	(*.f64 eps (neg.f64 (sin.f64 x)))

rewrite142.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`unswap-sqr`
774×	`swap-sqr`
464×	`sqr-pow`
458×	`pow-sqr`
376×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	67
1	282	59
2	3430	59

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(*.f64 eps (neg.f64 (sin.f64 x)))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(.f64 -1/2 (.f64 eps eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 eps) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 eps) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (neg.f64 eps)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 3) eps) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) (-.f64 1 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) 0) (*.f64 eps (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) (sqrt.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x) (*.f64 eps 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2)))) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps -1/2))))))))

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-*r/`
1064×	`associate-*l/`
1010×	`associate-+l+`
990×	`associate-+r+`
560×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	271	6040
1	704	5640
2	3434	5640

Stop Event

1×	node limit

Counts

160 → 183

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
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(exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(+.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 eps (*.f64 eps -1/2)))) 1))
(pow.f64 (.f64 eps (.f64 eps -1/2)) 1)
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 eps (.f64 eps -1/2))) 3)
(pow.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps -1/2)))))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))
(exp.f64 (log.f64 (.f64 eps (.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 eps -1/2))))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps x))
(*.f64 (neg.f64 eps) x)
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1 (.f64 eps x)) (.f64 1/6 (.f64 eps (pow.f64 x 3))))
(fma.f64 -1 (.f64 eps x) (.f64 1/6 (*.f64 eps (pow.f64 x 3))))
(-.f64 (.f64 eps (.f64 (pow.f64 x 3) 1/6)) (*.f64 eps x))
(-.f64 (.f64 (pow.f64 x 3) (.f64 eps 1/6)) (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (.f64 1/6 (.f64 eps (pow.f64 x 3)))))
(-.f64 (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 -1/120 (.f64 eps (pow.f64 x 5)))) (.f64 eps x))
(-.f64 (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 (pow.f64 x 5) (.f64 eps -1/120))) (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/120 (.f64 eps (pow.f64 x 5))) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 (*.f64 1/5040 eps) (pow.f64 x 7)))))
(-.f64 (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 1/5040 (.f64 eps (pow.f64 x 7))))) (*.f64 eps x))
(-.f64 (fma.f64 -1/120 (.f64 eps (pow.f64 x 5)) (fma.f64 1/5040 (.f64 eps (pow.f64 x 7)) (.f64 (pow.f64 x 3) (.f64 eps 1/6)))) (*.f64 eps x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1 (.f64 eps x) (.f64 eps (*.f64 eps -1/2)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/4 (.f64 (.f64 eps eps) (.f64 x x)))))
(-.f64 (fma.f64 eps (.f64 eps -1/2) (.f64 (.f64 eps eps) (.f64 (.f64 x x) 1/4))) (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 eps (pow.f64 x 3))) (.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 eps x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 1/4 (.f64 (.f64 eps eps) (*.f64 x x))))))
(-.f64 (fma.f64 eps (.f64 eps -1/2) (fma.f64 1/4 (.f64 x (.f64 x (.f64 eps eps))) (.f64 eps (.f64 (pow.f64 x 3) 1/6)))) (*.f64 eps x))
(-.f64 (fma.f64 eps (.f64 eps -1/2) (fma.f64 1/6 (.f64 eps (pow.f64 x 3)) (.f64 (.f64 eps eps) (.f64 (.f64 x x) 1/4)))) (*.f64 eps x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -1/2 (.f64 (cos.f64 x) (pow.f64 eps 2))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 eps (.f64 eps -1/2))
(+.f64 0 (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) -1)
(*.f64 eps (sin.f64 x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))) 1)
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 eps 0) (.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 (neg.f64 eps) 0) (.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 eps) (.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(+.f64 (.f64 0 (neg.f64 eps)) (.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(-.f64 0 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1)
(*.f64 eps (sin.f64 x))
(/.f64 (pow.f64 (.f64 eps (sin.f64 x)) 2) (.f64 eps (sin.f64 x)))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) eps)
(*.f64 (/.f64 eps (sin.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 eps (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 2)) eps)
(/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (neg.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2))
(/.f64 (neg.f64 eps) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 3))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) eps) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) eps))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) eps)
(*.f64 (/.f64 eps (sin.f64 x)) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 3) eps) (pow.f64 (sin.f64 x) 2))
(/.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 2)) eps)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) 1) (.f64 eps (sin.f64 x))) (+.f64 (exp.f64 (log1p.f64 (.f64 eps (sin.f64 x)))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 eps (sin.f64 x))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) 1))
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(*.f64 eps (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(*.f64 eps (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(*.f64 eps (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(*.f64 eps (sin.f64 x))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(fabs.f64 (*.f64 eps (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))
(*.f64 eps (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(*.f64 eps (sin.f64 x))
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(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))) 3)
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(pow.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3) 1/3)
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))) 2))
(fabs.f64 (.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(fabs.f64 (.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x))))))
(log.f64 (exp.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))))))
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x))) 3))
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x) (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x))))
(.f64 eps (+.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(.f64 eps (+.f64 (sin.f64 x) (.f64 eps (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) -1)
(.f64 eps (.f64 eps -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) 1)
(.f64 eps (.f64 eps -1/2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2)))) (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 eps (*.f64 eps -1/2)))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))) (.f64 eps (.f64 eps -1/2))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (*.f64 eps -1/2))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 eps (.f64 eps -1/2))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 eps (*.f64 eps -1/2))))))
(pow.f64 (.f64 eps (.f64 eps -1/2)) 1)
(.f64 eps (.f64 eps -1/2))
(pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 eps (.f64 eps -1/2))) 3)
(.f64 eps (.f64 eps -1/2))
(pow.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3) 1/3)
(.f64 eps (.f64 eps -1/2))
(sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))
(sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2))
(.f64 -1/2 (.f64 eps (log.f64 (exp.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (.f64 eps -1/2)))))
(.f64 eps (.f64 eps -1/2))
(cbrt.f64 (pow.f64 (.f64 eps (.f64 eps -1/2)) 3))
(.f64 eps (.f64 eps -1/2))
(expm1.f64 (log1p.f64 (.f64 eps (.f64 eps -1/2))))
(.f64 eps (.f64 eps -1/2))
(exp.f64 (log.f64 (.f64 eps (.f64 eps -1/2))))
(.f64 eps (.f64 eps -1/2))
(log1p.f64 (expm1.f64 (.f64 eps (.f64 eps -1/2))))
(.f64 eps (.f64 eps -1/2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (cos.f64 (+.f64 x eps)))
✓	0.5b	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
	4.3b	(cos.f64 (+.f64 x eps))
✓	10.9b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series26.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	0	(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
5.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
3.0ms	eps	@	0	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
2.0ms	x	@	inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
2.0ms	eps	@	-inf	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))

rewrite144.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`associate-*r/`
806×	`distribute-rgt-in`
782×	`associate-*l/`
770×	`distribute-lft-in`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	268	47
2	3401	47

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

Inputs
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(cbrt.f64 (cos.f64 (+.f64 x eps)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))))

simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-r`
1236×	`fma-def`
986×	`associate-l`
772×	`*-commutative`
618×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	690	20589
1	2087	19699

Stop Event

1×	node limit

Counts

267 → 350

Calls

Call 1

Inputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))) 1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2))) (.f64 (pow.f64 (.f64 (cos.f64 x) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2)))))))))) (cos.f64 x))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (+.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3) (pow.f64 (sin.f64 x) 3))))) (pow.f64 1 1/3))) (+.f64 (.f64 -2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 x) 1) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (.f64 -2/3 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (+.f64 (.f64 -1/6 (sin.f64 x)) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3) (pow.f64 (sin.f64 x) 3))))) (pow.f64 (/.f64 1 (cos.f64 x)) 1/3))))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/9) (.f64 (sin.f64 x) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2)))))))))) (pow.f64 eps 3)) (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps) (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2))) (.f64 (pow.f64 (.f64 (cos.f64 x) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 x)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2))))))))))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (.f64 -1 eps)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (.f64 -1 eps)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (.f64 -1 eps)))) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (.f64 -1 eps)))) (cos.f64 x))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (+.f64 (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (cos.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (neg.f64 (cos.f64 x)))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 1))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 1 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))
(+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1) (.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) 1))
(+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 1) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) 1))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6)) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 3) (pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) 3) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) 1)
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(pow.f64 (cos.f64 (+.f64 x eps)) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 1))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))

Outputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
(+.f64 (cos.f64 eps) (-.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x) 1))
(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (cos.f64 eps)) -1)
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))) 1)
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(+.f64 (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (.f64 x (.f64 x (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))))))) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (+.f64 (.f64 (pow.f64 (.f64 (cos.f64 eps) 1) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -1/6 (sin.f64 eps)))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 (cos.f64 eps)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 (+.f64 1/2 (+.f64 (.f64 1/3 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))) (.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (.f64 x x) (fma.f64 (+.f64 (.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (sin.f64 eps) -1/6)))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (cos.f64 eps))) (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (.f64 (sin.f64 eps) -1/6)))) (.f64 -2/9 (.f64 (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18))))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18)) (.f64 (sin.f64 eps) (fma.f64 2/3 (.f64 (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (.f64 1/9 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (sin.f64 eps) (+.f64 (.f64 (cos.f64 eps) -1/2) (.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) -2/9)))) (pow.f64 x 3) (.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x)))) -1)
(+.f64 (fma.f64 (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (.f64 x x) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (neg.f64 (sin.f64 eps))) x (.f64 (fma.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))))) (.f64 (sin.f64 eps) -2/3)))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/9 (.f64 (sin.f64 eps) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18)))) (.f64 (fma.f64 -1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))))) (.f64 (sin.f64 eps) -2/3)))) (.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 -1/3 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (sin.f64 eps) 2))) (.f64 (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (sin.f64 eps)))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (.f64 (.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))) -2/9))))) (pow.f64 x 3)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (.f64 -1 x)))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
0
(-.f64 (+.f64 (.f64 (cos.f64 x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (.f64 eps (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1))) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
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(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (fma.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1))
(cos.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 1 (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) (pow.f64 (cos.f64 (+.f64 x eps)) 1/6))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))) (cbrt.f64 (sqrt.f64 (cos.f64 (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 1)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 x eps)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 1/6) 2)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) 1))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1/3))
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))
(cbrt.f64 (cos.f64 (+.f64 eps x)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
✓	0.1b	(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
✓	0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
✓	2.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 37 to 9 computations (75.7% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	-inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	0	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	inf	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

rewrite111.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`distribute-rgt-in`
772×	`associate-*r/`
740×	`distribute-lft-in`
668×	`associate-*l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	77
1	272	57
2	3575	57

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x (-.f64 eps x))) 2)) (cos.f64 (/.f64 (+.f64 eps (-.f64 x (-.f64 eps x))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (/.f64 2 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (/.f64 2 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (-.f64 eps x)) 3)) (*.f64 2 (+.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (-.f64 eps x)) 3)) 1/2) (+.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))))

simplify234.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-+r+`
1174×	`+-commutative`
838×	`fma-def`
812×	`associate-r`
686×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	14693
1	1441	14287
2	7100	14287

Stop Event

1×	node limit

Counts

235 → 324

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cos.f64 x)
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 (-.f64 eps x)))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 1 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 2)
(/.f64 2 (/.f64 2 (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x (-.f64 eps x))) 2)) (cos.f64 (/.f64 (+.f64 eps (-.f64 x (-.f64 eps x))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (/.f64 2 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (/.f64 2 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))))
(/.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) (*.f64 2 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (-.f64 eps x)) 3)) (.f64 2 (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x)))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) 2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))) 1) 2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) -2)
(/.f64 (*.f64 1 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1) -2)
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) 1) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x)))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (.f64 (-.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (-.f64 eps x)))) 1/2) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 eps x))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3) (pow.f64 (cos.f64 (-.f64 eps x)) 3)) 1/2) (+.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 (-.f64 eps x)) (-.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 eps x))))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (cos.f64 x) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x))
(+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1) (cos.f64 x))
(+.f64 (.f64 1 (.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1)) (cos.f64 x))
(+.f64 (.f64 (.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1) 1) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) (-.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cos.f64 x) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (cos.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(-.f64 (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (sin.f64 x) (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 (.f64 1/6 (pow.f64 eps 3)) (sin.f64 x) (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))))) (.f64 eps (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 -1 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x))) 1))
(+.f64 -1 (+.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) (.f64 x (.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2)))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1))
(+.f64 (+.f64 (.f64 x (.f64 x (fma.f64 -1/2 (cos.f64 eps) 1/2))) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (+.f64 -1 (cos.f64 eps)))
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(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))

eval807.0ms (4.7%)

Compiler: Compiled 51504 to 19691 computations (61.8% saved)

prune613.0ms (3.6%)

Pruning

70 alts after pruning (66 fresh and 4 done)

	Pruned	Kept	Total
New	1635	57	1692
Fresh	27	9	36
Picked	0	1	1
Done	2	3	5
Total	1664	70	1734

Error

0.0b

Counts

1734 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	39.7b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
	43.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2)))
	35.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
	33.7b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	39.3b	(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	23.1b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	61.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.4b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
	33.8b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	39.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
	23.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	48.9b	(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
	23.9b	(-.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
✓	40.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	39.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	39.5b	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
	41.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	23.5b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	23.2b	(-.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	23.2b	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	33.6b	(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
	61.9b	(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
	57.3b	(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
	23.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	23.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	23.3b	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1))
	39.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
	47.8b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	45.9b	(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
	39.7b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	39.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
▶	39.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
	61.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
	56.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	39.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.4b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	39.4b	(-.f64 (cos.f64 eps) 1)
	34.1b	(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.1b	(+.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.3b	(+.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.3b	(+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	20.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	6.8b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	10.2b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	37.3b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	35.7b	(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	33.5b	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	58.4b	(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
▶	6.8b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.4b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
▶	48.0b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	16.7b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	39.6b	(*.f64 (neg.f64 eps) (sin.f64 x))
	33.6b	(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
	50.8b	(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
▶	51.0b	(.f64 eps (.f64 eps -1/2))
	55.3b	(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
	57.6b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	39.5b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	39.8b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	61.4b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	61.4b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
	39.5b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	56.3b	0

Compiler

Compiled 2069 to 1420 computations (31.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.1b	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	1.9b	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 47 to 18 computations (61.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	-inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	eps	@	inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
0.0ms	x	@	-inf	(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))

rewrite159.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`associate-*r/`
1148×	`associate-*l/`
338×	`add-sqr-sqrt`
336×	`associate-/r*`
332×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	323	69
2	4356	69

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(+.f64 (cos.f64 eps) -1)
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) 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simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-/l*`
1106×	`associate-r`
976×	`associate-l`
844×	`times-frac`
574×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1772	18647

Stop Event

1×	node limit

Counts

297 → 417

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) 3) (pow.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3)) (.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) 2)) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2)) (/.f64 1 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (+.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (-.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (*.f64 x x) (+.f64 (cos.f64 eps) -1)))) -1)
(+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (*.f64 x x) -1/2)) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (cos.f64 eps) -1)))) 1))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 4) (+.f64 -1/24 (.f64 (cos.f64 eps) 1/24)))) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (.f64 -1/720 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 2))) (.f64 1/24 (.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 4)))))) 1)
(+.f64 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 (cos.f64 eps) -1)))))) -1)
(+.f64 (fma.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 (cos.f64 eps) -1)) (.f64 (pow.f64 x 4) (+.f64 -1/24 (*.f64 (cos.f64 eps) 1/24)))))) -1)
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x)) (.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (.f64 (cos.f64 x) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(fma.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)) (fma.f64 1/40320 (.f64 (pow.f64 eps 8) (cos.f64 x)) (fma.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x)) (.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x))))))
(+.f64 (.f64 (cos.f64 x) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))
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(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
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(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (.f64 (sin.f64 eps) (sin.f64 x))) 2) (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))))
(pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (sqrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1))) 2) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) 2) (cbrt.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (sin.f64 x)))

localize45.0ms (0.3%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
✓	0.1b	(exp.f64 (cos.f64 eps))
✓	0.3b	(log.f64 (exp.f64 (cos.f64 eps)))
✓	1.9b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)

Compiler

Compiled 19 to 8 computations (57.9% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(exp.f64 (cos.f64 eps))
0.0ms	eps	@	0	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
0.0ms	eps	@	inf	(exp.f64 (cos.f64 eps))
0.0ms	eps	@	-inf	(exp.f64 (cos.f64 eps))
0.0ms	eps	@	0	(log.f64 (exp.f64 (cos.f64 eps)))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`add-sqr-sqrt`
1486×	`*-un-lft-identity`
1382×	`add-cube-cbrt`
1368×	`add-cbrt-cube`
1354×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	172	25
2	1910	25

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(log.f64 (exp.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 eps))) (sqrt.f64 (exp.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2) (cbrt.f64 (exp.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 eps))))))))

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1248×	`fma-def`
1182×	`unswap-sqr`
966×	`associate--l-`
812×	`distribute-lft-in`
714×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	1612
1	389	1546
2	1756	1384
3	7820	1384

Stop Event

1×	node limit

Counts

102 → 116

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 -31/720 (.f64 (pow.f64 eps 6) (exp.f64 1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (exp.f64 1))) (exp.f64 1))))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 0 (cos.f64 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 eps)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))))
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(.f64 (sqrt.f64 (cos.f64 eps)) (.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (.f64 (cbrt.f64 (cos.f64 eps)) 1))
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 eps))) 1)
(*.f64 (exp.f64 (cos.f64 eps)) 1)
(*.f64 1 (exp.f64 (cos.f64 eps)))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 eps))) (sqrt.f64 (exp.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2) (cbrt.f64 (exp.f64 (cos.f64 eps))))
(pow.f64 (exp.f64 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 3) 1/3)
(pow.f64 (E.f64) (cos.f64 eps))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 eps))))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/40320 (pow.f64 eps 8) (.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1)))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 eps eps) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (exp.f64 1))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 eps 4) (E.f64)) (E.f64)))
(fma.f64 -1/2 (.f64 eps (.f64 eps (E.f64))) (fma.f64 1/6 (*.f64 (pow.f64 eps 4) (E.f64)) (E.f64)))
(fma.f64 (E.f64) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 4) 1/6)) (E.f64))
(+.f64 (.f64 -31/720 (.f64 (pow.f64 eps 6) (exp.f64 1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (exp.f64 1))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 4) (exp.f64 1))) (exp.f64 1))))
(fma.f64 -31/720 (.f64 (pow.f64 eps 6) (E.f64)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 eps 4) (E.f64)) (E.f64))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 eps 4) (E.f64)) (E.f64)) (.f64 (E.f64) (+.f64 (.f64 (pow.f64 eps 6) -31/720) (.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (E.f64) (fma.f64 (pow.f64 eps 6) -31/720 (.f64 -1/2 (.f64 eps eps))) (*.f64 (E.f64) (fma.f64 (pow.f64 eps 4) 1/6 1)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (fma.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1) 1))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(+.f64 (cos.f64 eps) -1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(+.f64 (cos.f64 eps) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (cos.f64 eps) -1)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(+.f64 (cos.f64 eps) -1)
(expm1.f64 (log.f64 (cos.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(+.f64 (cos.f64 eps) -1)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(fma.f64 1 (cos.f64 eps) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 1 (+.f64 (cos.f64 eps) -1))
(cos.f64 eps)
(+.f64 0 (cos.f64 eps))
(cos.f64 eps)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 eps)))))
(cos.f64 eps)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))))
(cos.f64 eps)
(-.f64 (+.f64 (cos.f64 eps) 1) 1)
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(cos.f64 eps)
(*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(.f64 (sqrt.f64 (cos.f64 eps)) (.f64 (sqrt.f64 (cos.f64 eps)) 1))
(cos.f64 eps)
(*.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2))
(cos.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)))
(cos.f64 eps)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (.f64 (cbrt.f64 (cos.f64 eps)) 1))
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(cos.f64 eps)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(cos.f64 eps)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(cos.f64 eps)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(cos.f64 eps)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(cos.f64 eps)
(exp.f64 (log.f64 (cos.f64 eps)))
(cos.f64 eps)
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(cos.f64 eps)
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(cos.f64 eps)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 eps))) 1)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(*.f64 (exp.f64 (cos.f64 eps)) 1)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(*.f64 1 (exp.f64 (cos.f64 eps)))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 eps))) (sqrt.f64 (exp.f64 (cos.f64 eps))))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2) (cbrt.f64 (exp.f64 (cos.f64 eps))))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (exp.f64 (cos.f64 eps)) 1)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 eps))) 2)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 3)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 3) 1/3)
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (E.f64) (cos.f64 eps))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 2))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(log.f64 (exp.f64 (exp.f64 (cos.f64 eps))))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 eps)) 3))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 eps))))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 eps))))
(+.f64 1 (expm1.f64 (cos.f64 eps)))
(exp.f64 (cos.f64 eps))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (cos.f64 eps))
✓	0.1b	(+.f64 (sqrt.f64 (cos.f64 eps)) 1)
✓	0.1b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
✓	2.0b	(-.f64 (sqrt.f64 (cos.f64 eps)) 1)

Compiler

Compiled 30 to 14 computations (53.3% saved)

series2.0ms (0%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	-inf	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
0.0ms	eps	@	inf	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
0.0ms	eps	@	0	(-.f64 (sqrt.f64 (cos.f64 eps)) 1)
0.0ms	eps	@	inf	(-.f64 (sqrt.f64 (cos.f64 eps)) 1)
0.0ms	eps	@	-inf	(-.f64 (sqrt.f64 (cos.f64 eps)) 1)

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1800×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	74
1	205	50
2	2628	50

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (cos.f64 eps)) 1)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (sqrt.f64 (cos.f64 eps)) 1)
(sqrt.f64 (cos.f64 eps))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 1 (-.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)) (neg.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (neg.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 eps) 1/4) (.f64 (pow.f64 (cos.f64 eps) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 eps)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 eps))))))))

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-+r+`
1352×	`associate-+l+`
934×	`times-frac`
698×	`associate-l`
680×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	322	5288
1	802	4074
2	5840	4074

Stop Event

1×	node limit

Counts

172 → 224

Calls

Call 1

Inputs
(*.f64 -1/4 (pow.f64 eps 2))
(+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 -1/96 (pow.f64 eps 4)))
(+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 -1/96 (pow.f64 eps 4))))
(+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 -559/645120 (pow.f64 eps 8)) (.f64 -1/96 (pow.f64 eps 4)))))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 eps 2)))
(+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 -1/96 (pow.f64 eps 4))))
(+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (*.f64 -1/96 (pow.f64 eps 4)))))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 -1/96 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (*.f64 -1/96 (pow.f64 eps 4)))))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 -1 (sqrt.f64 (cos.f64 eps)))
(*.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (/.f64 1 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 1/4) 1) (-.f64 (pow.f64 (cos.f64 eps) 1/4) 1))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 (cos.f64 eps) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (+.f64 (cos.f64 eps) (-.f64 1 (*.f64 (sqrt.f64 (cos.f64 eps)) -1))))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 1) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4))) (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(/.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)) (neg.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (neg.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) 3))
(expm1.f64 (log.f64 (sqrt.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(fma.f64 1 (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4) -1)
(fma.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))) -1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (sqrt.f64 (cos.f64 eps))))
(+.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (*.f64 (sqrt.f64 (cos.f64 eps)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (sqrt.f64 (cos.f64 eps))) (.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) -1))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(+.f64 (.f64 (sqrt.f64 (cos.f64 eps)) (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (.f64 -1 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(+.f64 (*.f64 (sqrt.f64 (cos.f64 eps)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(-.f64 (cos.f64 eps) 1)
(/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (cos.f64 eps) -1))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 (cos.f64 eps) -1)) (.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(/.f64 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (+.f64 (cos.f64 eps) -1)) (.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))) 1)
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(*.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 (cos.f64 eps) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 1 (-.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)) (neg.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (neg.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(fma.f64 1 (sqrt.f64 (cos.f64 eps)) 1)
(fma.f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4) 1)
(fma.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 1)
(-.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)
(*.f64 (sqrt.f64 (cos.f64 eps)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4))
(.f64 (pow.f64 (cos.f64 eps) 1/4) (.f64 (pow.f64 (cos.f64 eps) 1/4) 1))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(.f64 (cbrt.f64 (cos.f64 eps)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 1/2))
(pow.f64 (cos.f64 eps) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 1)
(pow.f64 (pow.f64 (cos.f64 eps) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 eps))))

Outputs
(*.f64 -1/4 (pow.f64 eps 2))
(.f64 -1/4 (.f64 eps eps))
(+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 -1/96 (pow.f64 eps 4)))
(fma.f64 -1/4 (.f64 eps eps) (.f64 -1/96 (pow.f64 eps 4)))
(fma.f64 -1/96 (pow.f64 eps 4) (.f64 -1/4 (.f64 eps eps)))
(+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 -1/96 (pow.f64 eps 4))))
(fma.f64 -19/5760 (pow.f64 eps 6) (fma.f64 -1/4 (.f64 eps eps) (.f64 -1/96 (pow.f64 eps 4))))
(fma.f64 -1/4 (.f64 eps eps) (fma.f64 -1/96 (pow.f64 eps 4) (.f64 -19/5760 (pow.f64 eps 6))))
(+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 -559/645120 (pow.f64 eps 8)) (.f64 -1/96 (pow.f64 eps 4)))))
(fma.f64 -19/5760 (pow.f64 eps 6) (fma.f64 -1/4 (.f64 eps eps) (fma.f64 -559/645120 (pow.f64 eps 8) (.f64 -1/96 (pow.f64 eps 4)))))
(fma.f64 -19/5760 (pow.f64 eps 6) (fma.f64 -1/4 (.f64 eps eps) (fma.f64 -1/96 (pow.f64 eps 4) (.f64 -559/645120 (pow.f64 eps 8)))))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 (.f64 eps eps) -1/2)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 (.f64 eps eps) -1/2))
(fma.f64 (pow.f64 eps 4) 1/24 (.f64 (.f64 eps eps) -1/2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (pow.f64 eps 6) -1/720)))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (.f64 eps eps) -1/2 (.f64 (pow.f64 eps 6) -1/720)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/720 (pow.f64 eps 6)) (.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (.f64 eps eps) -1/2 (fma.f64 (pow.f64 eps 8) 1/40320 (.f64 (pow.f64 eps 6) -1/720))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
2
(+.f64 2 (*.f64 -1/4 (pow.f64 eps 2)))
(+.f64 2 (.f64 -1/4 (.f64 eps eps)))
(fma.f64 -1/4 (*.f64 eps eps) 2)
(+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 -1/96 (pow.f64 eps 4))))
(+.f64 2 (fma.f64 -1/4 (.f64 eps eps) (.f64 -1/96 (pow.f64 eps 4))))
(+.f64 2 (fma.f64 -1/96 (pow.f64 eps 4) (.f64 -1/4 (.f64 eps eps))))
(+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (*.f64 -1/96 (pow.f64 eps 4)))))
(+.f64 2 (fma.f64 -1/4 (.f64 eps eps) (fma.f64 -19/5760 (pow.f64 eps 6) (.f64 -1/96 (pow.f64 eps 4)))))
(+.f64 (fma.f64 -1/4 (.f64 eps eps) 2) (fma.f64 -1/96 (pow.f64 eps 4) (.f64 -19/5760 (pow.f64 eps 6))))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 eps 2)))
(+.f64 (.f64 -1/4 (.f64 eps eps)) 1)
(fma.f64 -1/4 (*.f64 eps eps) 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (.f64 -1/96 (pow.f64 eps 4))))
(+.f64 (fma.f64 -1/4 (.f64 eps eps) (.f64 -1/96 (pow.f64 eps 4))) 1)
(+.f64 (.f64 -1/96 (pow.f64 eps 4)) (fma.f64 -1/4 (.f64 eps eps) 1))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (+.f64 (.f64 -19/5760 (pow.f64 eps 6)) (*.f64 -1/96 (pow.f64 eps 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 eps eps) (fma.f64 -19/5760 (pow.f64 eps 6) (.f64 -1/96 (pow.f64 eps 4)))))
(+.f64 (fma.f64 -1/96 (pow.f64 eps 4) (.f64 -19/5760 (pow.f64 eps 6))) (fma.f64 -1/4 (.f64 eps eps) 1))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 -1 (sqrt.f64 (cos.f64 eps)))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) 1)
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (/.f64 1 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 1 (+.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 1/4) 1) (-.f64 (pow.f64 (cos.f64 eps) 1/4) 1))
(+.f64 (sqrt.f64 (cos.f64 eps)) -1)
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) (+.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 1 (+.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (sqrt.f64 (cos.f64 eps)) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 1 (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
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(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(+.f64 (cos.f64 eps) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))) 1)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(*.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)))
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) 2)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(*.f64 (+.f64 (cos.f64 eps) -1) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)) (+.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (pow.f64 (cos.f64 eps) 3/2) -1)) (+.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3/2))))
(*.f64 (+.f64 1 (+.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))) (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 -1 (pow.f64 (cos.f64 eps) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1) (+.f64 (cos.f64 eps) -1)))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))) (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (+.f64 1 (-.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps))))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) 1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(-.f64 (/.f64 (cos.f64 eps) (+.f64 (sqrt.f64 (cos.f64 eps)) -1)) (/.f64 1 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (sqrt.f64 (cos.f64 eps)) -1))
(/.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)) (neg.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) -1)))
(/.f64 (-.f64 1 (cos.f64 eps)) (-.f64 1 (sqrt.f64 (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (neg.f64 (-.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3/2))) (neg.f64 (-.f64 (+.f64 1 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3/2)) (-.f64 -1 (-.f64 (cos.f64 eps) (sqrt.f64 (cos.f64 eps)))))
(pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 eps) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) 3)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 3) 1/3)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1))))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 3))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1)))
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(fma.f64 1 (sqrt.f64 (cos.f64 eps)) 1)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(fma.f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4) 1)
(+.f64 1 (sqrt.f64 (cos.f64 eps)))
(fma.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 1)
(-.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(*.f64 (sqrt.f64 (cos.f64 eps)) 1)
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(*.f64 1 (sqrt.f64 (cos.f64 eps)))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(*.f64 (pow.f64 (cos.f64 eps) 1/4) (pow.f64 (cos.f64 eps) 1/4))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(.f64 (pow.f64 (cos.f64 eps) 1/4) (.f64 (pow.f64 (cos.f64 eps) 1/4) 1))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) (cbrt.f64 (cos.f64 eps)))
(*.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(.f64 (cbrt.f64 (cos.f64 eps)) (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 1))
(*.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (sqrt.f64 (cos.f64 eps))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 eps)))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 eps)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (cos.f64 eps))))
(pow.f64 (cos.f64 eps) 1/2)
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(pow.f64 (sqrt.f64 (cos.f64 eps)) 1)
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(pow.f64 (pow.f64 (cos.f64 eps) 1/4) 2)
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 eps))) 3)
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(pow.f64 (pow.f64 (cos.f64 eps) 3/2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 eps) 3/2))
(fabs.f64 (sqrt.f64 (cos.f64 eps)))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 eps))))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 eps)))))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 eps))))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 eps))))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1/2))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) 1))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 eps))))
(+.f64 (sqrt.f64 (cos.f64 eps)) 0)
(sqrt.f64 (cos.f64 eps))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))
✓	0.3b	(+.f64 1 (+.f64 (cos.f64 eps) -1))
	1.9b	(+.f64 (cos.f64 eps) -1)
✓	2.1b	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

Compiler

Compiled 57 to 26 computations (54.4% saved)

series1.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	0	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	inf	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	inf	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	eps	@	-inf	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
0.0ms	x	@	0	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`associate-*r/`
1548×	`associate-*l/`
388×	`associate-+l+`
370×	`add-sqr-sqrt`
364×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	97
1	357	79
2	4607	61

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) 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(cos.f64 eps) -1) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 (-.f64 2 (cos.f64 eps)) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (-.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x)) (-.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x)) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (-.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x))) (-.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x))) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1)) (+.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) 1)) (+.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3))) (+.f64 (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (neg.f64 (-.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (neg.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (-.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) (cos.f64 x)) (+.f64 (cos.f64 eps) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) 1) (cos.f64 x)) (+.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3)) (cos.f64 x)) (+.f64 (*.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cos.f64 x)) (neg.f64 (-.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (-.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) 1) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x)) 1) (-.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x)) 1) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (*.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 x))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (*.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 x))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))))))

simplify183.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1808×	`associate--r+`
950×	`fma-def`
738×	`associate-r`
678×	`associate-l`
472×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	16636
1	1518	15632
2	7173	15632

Stop Event

1×	node limit

Counts

276 → 365

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 eps)
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/720 (.f64 (pow.f64 eps 6) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4)))))
(+.f64 (.f64 -1/720 (.f64 (cos.f64 eps) (pow.f64 x 6))) (+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 1/24 (.f64 (cos.f64 eps) (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 eps) (cos.f64 x))
(+.f64 (cos.f64 x) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1)))
(+.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1) (fma.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) 1 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) 1) (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) 1) 1) (+.f64 (cos.f64 eps) 2))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3)) 1) (+.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) -1))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (neg.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) 1) (neg.f64 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (/.f64 1 (-.f64 2 (cos.f64 eps)))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 3)) (/.f64 1 (-.f64 2 (cos.f64 eps)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(pow.f64 (cos.f64 eps) 1)
(pow.f64 (sqrt.f64 (cos.f64 eps)) 2)
(pow.f64 (cbrt.f64 (cos.f64 eps)) 3)
(pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 eps) 2))
(log.f64 (exp.f64 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (cos.f64 eps) 3))
(cos.f64 eps)
(expm1.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (log.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(log1p.f64 (expm1.f64 (cos.f64 eps)))
(fma.f64 1 (+.f64 (cos.f64 eps) -1) 1)
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 1)
(+.f64 (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 1 (cos.f64 eps))) (.f64 (cos.f64 x) -1))
(+.f64 (.f64 (cos.f64 x) -1) (.f64 (cos.f64 x) (+.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (cos.f64 x))
(+.f64 (.f64 (+.f64 1 (cos.f64 eps)) (cos.f64 x)) (.f64 -1 (cos.f64 x)))
(+.f64 (.f64 -1 (cos.f64 x)) (.f64 (+.f64 1 (cos.f64 eps)) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(/.f64 (cos.f64 x) (/.f64 (-.f64 2 (cos.f64 eps)) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 (cos.f64 x) (/.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x)) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x)) (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 1 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x))) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 1 (.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x))) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1)) (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) 1)) (+.f64 (cos.f64 eps) 2))
(/.f64 (.f64 (cos.f64 x) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3))) (+.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) -1))))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (neg.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (cos.f64 x) (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (neg.f64 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) (cos.f64 x)) (+.f64 (cos.f64 eps) -2))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) 1) (cos.f64 x)) (+.f64 (cos.f64 eps) 2))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3)) (cos.f64 x)) (+.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) -1))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cos.f64 x)) (neg.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) 1) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x)) 1) (-.f64 2 (cos.f64 eps)))
(/.f64 (.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x)) 1) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 x))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 x))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))

Outputs
(.f64 -1 (.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (.f64 eps (sin.f64 x)))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (.f64 eps eps) (cos.f64 x)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))))) (.f64 eps (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 -1 (cos.f64 eps))
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 -1 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (.f64 x x))) 1))
(+.f64 -1 (+.f64 (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)) (.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (.f64 x x))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (*.f64 x x)))) 1))
(+.f64 (+.f64 (.f64 (fma.f64 -1/2 (cos.f64 eps) 1/2) (.f64 x x)) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (+.f64 -1 (cos.f64 eps)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
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(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)) (/.f64 (cos.f64 x) (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1)))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)))))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3/2)) (sqrt.f64 (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1))) (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))))
(/.f64 (.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))) (/.f64 (sqrt.f64 (-.f64 2 (cos.f64 eps))) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))) (sqrt.f64 (-.f64 2 (cos.f64 eps)))) (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)))))
(.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3))))
(/.f64 (.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (/.f64 (cbrt.f64 (-.f64 2 (cos.f64 eps))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2)))))
(.f64 (/.f64 (.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (-.f64 2 (cos.f64 eps)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) (cos.f64 x)) (+.f64 (cos.f64 eps) -2))
(*.f64 (/.f64 (cos.f64 x) (-.f64 2 (cos.f64 eps))) (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2)))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -2)) (/.f64 (+.f64 (cos.f64 eps) -2) (cos.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) 1) (cos.f64 x)) (+.f64 (cos.f64 eps) 2))
(/.f64 (cos.f64 x) (/.f64 (+.f64 2 (cos.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1) -1)))
(.f64 (/.f64 (cos.f64 x) (+.f64 2 (cos.f64 eps))) (.f64 (cos.f64 eps) (+.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 eps)) 3)) (cos.f64 x)) (+.f64 (.f64 (+.f64 1 (cos.f64 eps)) (+.f64 1 (cos.f64 eps))) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 eps)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (/.f64 (fma.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1) (-.f64 1 (*.f64 -1 (+.f64 (cos.f64 eps) 1)))) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (fma.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1) (+.f64 2 (cos.f64 eps)))) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cos.f64 x)) (neg.f64 (-.f64 2 (cos.f64 eps))))
(*.f64 (/.f64 (cos.f64 x) (-.f64 2 (cos.f64 eps))) (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2)))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -2)) (/.f64 (+.f64 (cos.f64 eps) -2) (cos.f64 x)))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (cos.f64 x)) (neg.f64 (+.f64 1 (.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(.f64 (/.f64 (cos.f64 x) (+.f64 1 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)) (/.f64 (cos.f64 x) (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1)))
(/.f64 (.f64 (.f64 (cos.f64 x) (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (-.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 (cos.f64 x) (-.f64 2 (cos.f64 eps))) (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2)))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -2)) (/.f64 (+.f64 (cos.f64 eps) -2) (cos.f64 x)))
(/.f64 (.f64 (.f64 (cos.f64 x) (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) 1) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(.f64 (/.f64 (cos.f64 x) (+.f64 1 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)) (/.f64 (cos.f64 x) (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1)))
(/.f64 (.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cos.f64 x)) 1) (-.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 (cos.f64 x) (-.f64 2 (cos.f64 eps))) (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2)))
(/.f64 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -2)) (/.f64 (+.f64 (cos.f64 eps) -2) (cos.f64 x)))
(/.f64 (.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (cos.f64 x)) 1) (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2))))
(.f64 (/.f64 (cos.f64 x) (+.f64 1 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)) (/.f64 (cos.f64 x) (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 x))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -2)))))
(/.f64 (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3)))))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 3/2)) (sqrt.f64 (fma.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 (cos.f64 eps) -2) 1))) (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (.f64 (sqrt.f64 (cos.f64 eps)) (cos.f64 x))) (sqrt.f64 (-.f64 2 (cos.f64 eps))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))) (/.f64 (sqrt.f64 (-.f64 2 (cos.f64 eps))) (*.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 -1 (cos.f64 eps)) 2))) (sqrt.f64 (-.f64 2 (cos.f64 eps)))) (.f64 (cos.f64 x) (sqrt.f64 (cos.f64 eps))))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 2)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (cos.f64 eps))
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (cos.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (cos.f64 eps)))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (cos.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 eps) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (cos.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 eps))

eval862.0ms (5.1%)

Compiler: Compiled 36104 to 15531 computations (57% saved)

prune453.0ms (2.7%)

Pruning

70 alts after pruning (62 fresh and 8 done)

	Pruned	Kept	Total
New	1340	19	1359
Fresh	18	43	61
Picked	0	1	1
Done	1	7	8
Total	1359	70	1429

Error

0.0b

Counts

1429 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	39.7b	(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
	6.7b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	43.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2)))
	35.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
	33.7b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	23.1b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	49.0b	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2)
	61.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	39.4b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
	33.8b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	39.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	23.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
	48.9b	(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
✓	40.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	39.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	39.5b	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
	41.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	23.2b	(-.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	6.8b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	23.2b	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	33.6b	(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
	23.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	23.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
▶	47.8b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	45.9b	(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
▶	39.7b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	39.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
✓	39.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
	33.2b	(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
	61.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
	56.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	39.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.4b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	39.4b	(-.f64 (cos.f64 eps) 1)
▶	0.7b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.4b	(+.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	38.5b	(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
	6.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	33.5b	(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
▶	34.1b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.1b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) -1) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.9b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	23.1b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
	37.9b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	6.8b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.9b	(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.4b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
✓	48.0b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
▶	16.7b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
	39.6b	(*.f64 (neg.f64 eps) (sin.f64 x))
	33.6b	(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
	50.8b	(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
✓	51.0b	(.f64 eps (.f64 eps -1/2))
	54.1b	(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	57.6b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	39.5b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	39.8b	(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	61.4b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	55.3b	(fabs.f64 (+.f64 (cos.f64 eps) -1))
	61.4b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
	39.5b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	56.3b	0

Compiler

Compiled 1886 to 1372 computations (27.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	0.5b	(-.f64 -1 (cos.f64 eps))

Compiler

Compiled 69 to 30 computations (56.5% saved)

series13.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	-inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	x	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	eps	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	eps	@	0	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))
1.0ms	x	@	-inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`associate-*r/`
1548×	`associate-/r*`
1400×	`associate-*l/`
298×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	295	43
2	3749	43

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs
(-.f64 -1 (cos.f64 eps))
(pow.f64 (sin.f64 eps) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))))) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (neg.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) 1) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 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((x /.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -1 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -1 (cos.f64 eps))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) 1) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))))))

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1316×	`associate-/r/`
588×	`associate-/l*`
528×	`+-commutative`
506×	`associate-r`
468×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	6324
1	1114	5792
2	4873	5694

Stop Event

1×	node limit

Counts

176 → 232

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (*.f64 -1/8 (cos.f64 x))))))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1/630 (cos.f64 x)) (+.f64 (.f64 -1/2880 (cos.f64 x)) (+.f64 (.f64 -1/4 (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (.f64 1/48 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x))))))) (pow.f64 eps 8))) (.f64 -1 (.f64 (pow.f64 eps 6) (-.f64 (.f64 1/45 (cos.f64 x)) (+.f64 (.f64 1/96 (cos.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/6 (cos.f64 x)) (.f64 -1/8 (cos.f64 x)))))))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (.f64 -1/24 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 2)) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 4)) (+.f64 (cos.f64 eps) 1))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 6)) (+.f64 (cos.f64 eps) 1))))))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(.f64 -1 (/.f64 (.f64 (cos.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(+.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))
(+.f64 (neg.f64 (cos.f64 eps)) -1)
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -1)
(+.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (-.f64 -1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))
(*.f64 1 (-.f64 -1 (cos.f64 eps)))
(*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (+.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (.f64 -1 (neg.f64 (cos.f64 eps))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (+.f64 -1 (cos.f64 eps)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 1 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))))) (+.f64 -1 (cos.f64 eps)))
(/.f64 (.f64 1 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) 1) (+.f64 -1 (cos.f64 eps)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))) (*.f64 -1 (neg.f64 (cos.f64 eps))))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (+.f64 (+.f64 1 (.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 eps))) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (sqrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (.f64 (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))) (cbrt.f64 (+.f64 1 (.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(pow.f64 (-.f64 -1 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 -1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3))
(expm1.f64 (log.f64 (neg.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 -1 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 -1 (cos.f64 eps))))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) 1)
(+.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)
(-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 eps))))
(*.f64 (sin.f64 eps) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(.f64 (sqrt.f64 (sin.f64 eps)) (.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(.f64 (.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(.f64 (.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)
(/.f64 (.f64 1 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 1 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(exp.f64 (.f64 (.f64 2 (log.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (/.f64 (-.f64 -1 (cos.f64 eps)) (cos.f64 x))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (.f64 (cbrt.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x))
(.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 x))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (cos.f64 eps)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cos.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (cos.f64 x) 1) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (-.f64 -1 (cos.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (+.f64 (cos.f64 eps) 1)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))

Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (.f64 eps eps) -2))
(+.f64 (fma.f64 1/2 (.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (.f64 1/720 (pow.f64 eps 6))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (.f64 eps eps) (.f64 (pow.f64 eps 4) -1/3))
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (.f64 (pow.f64 eps 6) 2/45)))
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(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
0.0ms	eps	@	0	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
0.0ms	x	@	inf	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
0.0ms	x	@	-inf	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
0.0ms	eps	@	-inf	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`*-commutative`
842×	`unswap-sqr`
670×	`swap-sqr`
614×	`distribute-lft-in`
606×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	202	19
2	2731	19

Stop Event

1×	node limit

Counts

1 → 189

Calls

Call 1

Inputs
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))

Outputs

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simplify213.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-+r+`
1260×	`associate-+l+`
1046×	`fma-def`
932×	`+-commutative`
674×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	11421
1	1443	9181
2	5956	9161

Stop Event

1×	node limit

Counts

213 → 270

Calls

Call 1

Inputs
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
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(log1p.f64 (expm1.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(fma.f64 eps (.f64 eps -1/2) (.f64 eps (neg.f64 x)))
(fma.f64 eps (-.f64 (.f64 eps -1/2) x) (.f64 (*.f64 eps x) 0))
(fma.f64 (.f64 eps -1/2) eps (.f64 eps (neg.f64 x)))
(fma.f64 1 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (neg.f64 x)))
(fma.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (.f64 (.f64 eps x) 0))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) (sqrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) (.f64 (.f64 eps x) 0))
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) 2) (cbrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) (.f64 (.f64 eps x) 0))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) 2) (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (*.f64 eps (neg.f64 x)))
(fma.f64 (.f64 eps eps) -1/2 (.f64 eps (neg.f64 x)))

Outputs
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(.f64 eps (.f64 eps -1/2))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(.f64 -1 (.f64 eps x))
(*.f64 eps (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (neg.f64 x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (.f64 eps (neg.f64 x)) (.f64 (*.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) (.f64 (*.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 (.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) (.f64 (.f64 (.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 eps) x (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) (fma.f64 (neg.f64 eps) x (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (.f64 eps (neg.f64 x)) (fma.f64 (.f64 eps (neg.f64 x)) 1 (*.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) (fma.f64 (.f64 eps (neg.f64 x)) 1 (*.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(+.f64 (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (.f64 eps x)))) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(+.f64 (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (.f64 eps x)))) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (.f64 eps (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2)) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (+.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2)) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (.f64 -1/2 (.f64 eps eps)) (.f64 (+.f64 (.f64 eps (neg.f64 x)) (.f64 (.f64 eps x) 0)) 1))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (.f64 (.f64 eps x) 0))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (.f64 (.f64 (*.f64 eps x) 0) 2))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (fma.f64 (neg.f64 eps) x (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (fma.f64 (.f64 eps (neg.f64 x)) 1 (.f64 eps x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(+.f64 (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (.f64 eps x)))) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (*.f64 eps x)))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2)) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (.f64 (.f64 (.f64 eps x) 0) 2) (.f64 (*.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 eps) x (.f64 eps x)) (.f64 (*.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (.f64 eps (neg.f64 x)) 1 (.f64 eps x)) (.f64 (.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x)) (.f64 (*.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(+.f64 (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (.f64 eps x)))) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x)) (.f64 (*.f64 eps x) 0)))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2)) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (.f64 (.f64 eps x) 0) (.f64 (.f64 (*.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (.f64 (.f64 (.f64 eps x) 0) 2) (.f64 (.f64 (.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 eps) x (.f64 eps x)) (.f64 (.f64 (.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (.f64 eps (neg.f64 x)) 1 (.f64 eps x)) (.f64 (.f64 (*.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x)) (.f64 (.f64 (.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (sqrt.f64 (.f64 eps x))) (sqrt.f64 (.f64 eps x)) (.f64 eps x))))
(+.f64 (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (.f64 eps x)))) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (sqrt.f64 (.f64 eps x)) (neg.f64 (sqrt.f64 (*.f64 eps x)))))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x)) (.f64 (.f64 (.f64 eps x) 0) 2)))
(fma.f64 eps (neg.f64 x) (fma.f64 -1/2 (.f64 eps eps) (fma.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2) (.f64 eps x))))
(+.f64 (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (.f64 eps x)) 2)) (.f64 eps (*.f64 eps -1/2)))
(+.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (neg.f64 (cbrt.f64 (.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 eps x)) 2)))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (.f64 (.f64 eps x) 0) (fma.f64 (neg.f64 eps) x (*.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (.f64 (.f64 (.f64 eps x) 0) 2) (fma.f64 (neg.f64 eps) x (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(+.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (+.f64 (fma.f64 (neg.f64 eps) x (.f64 eps x)) (fma.f64 (neg.f64 eps) x (.f64 eps x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
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(.f64 (-.f64 (.f64 -1/8 (pow.f64 (.f64 eps eps) 3)) (pow.f64 (.f64 eps x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 eps (.f64 x (*.f64 eps (fma.f64 eps -1/2 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (.f64 eps x) 3)) (fma.f64 eps (.f64 (.f64 eps x) (fma.f64 eps -1/2 x)) (*.f64 1/4 (pow.f64 eps 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3) (pow.f64 (.f64 eps x) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 (.f64 eps -1/2) x)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 (*.f64 eps -1/2) x))))))
(.f64 (-.f64 (.f64 -1/8 (pow.f64 (.f64 eps eps) 3)) (pow.f64 (.f64 eps x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 eps (.f64 x (*.f64 eps (fma.f64 eps -1/2 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (.f64 eps x) 3)) (fma.f64 eps (.f64 (.f64 eps x) (fma.f64 eps -1/2 x)) (*.f64 1/4 (pow.f64 eps 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3) (pow.f64 (.f64 eps x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 (.f64 eps -1/2) x))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 (.f64 eps -1/2) x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 (.f64 eps -1/2) x))))))
(.f64 (-.f64 (.f64 -1/8 (pow.f64 (.f64 eps eps) 3)) (pow.f64 (.f64 eps x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 eps (.f64 x (*.f64 eps (fma.f64 eps -1/2 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (.f64 eps x) 3)) (fma.f64 eps (.f64 (.f64 eps x) (fma.f64 eps -1/2 x)) (*.f64 1/4 (pow.f64 eps 4))))
(pow.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(pow.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) 2)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) 3)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(pow.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) 3) 1/3)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (pow.f64 (.f64 eps x) 2)) (.f64 eps (neg.f64 (+.f64 (*.f64 eps -1/2) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (neg.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2))) (.f64 eps (neg.f64 (fma.f64 eps -1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 1/4 (pow.f64 eps 4))) (.f64 eps (-.f64 (.f64 eps 1/2) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 3) (pow.f64 (.f64 eps x) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 (*.f64 eps -1/2) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 -1/8 (pow.f64 (.f64 eps eps) 3)) (pow.f64 (.f64 eps x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 eps eps)) 2) (.f64 eps (.f64 x (.f64 eps (fma.f64 eps -1/2 x)))))))
(.f64 1 (/.f64 (-.f64 (.f64 (pow.f64 eps 6) -1/8) (pow.f64 (.f64 eps x) 3)) (fma.f64 eps (.f64 (.f64 eps x) (fma.f64 eps -1/2 x)) (.f64 1/4 (pow.f64 eps 4)))))
(sqrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) 2))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps -1/2 (neg.f64 x))) 2))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(log.f64 (pow.f64 (exp.f64 eps) (-.f64 (*.f64 eps -1/2) x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(cbrt.f64 (pow.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)) 3))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(expm1.f64 (log1p.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(exp.f64 (log.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(log1p.f64 (expm1.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 eps (.f64 eps -1/2) (.f64 eps (neg.f64 x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 eps (-.f64 (.f64 eps -1/2) x) (.f64 (*.f64 eps x) 0))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 (.f64 eps -1/2) eps (.f64 eps (neg.f64 x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 1 (.f64 -1/2 (.f64 eps eps)) (*.f64 eps (neg.f64 x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x)) (.f64 (.f64 eps x) 0))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) (sqrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) (.f64 (.f64 eps x) 0))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 (.f64 eps (sqrt.f64 -1/2)) (.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (neg.f64 x)))
(-.f64 (.f64 eps (.f64 (sqrt.f64 -1/2) (.f64 eps (sqrt.f64 -1/2)))) (.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) 2) (cbrt.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x))) (.f64 (.f64 eps x) 0))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) 2) (cbrt.f64 (.f64 -1/2 (.f64 eps eps))) (*.f64 eps (neg.f64 x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(fma.f64 (.f64 eps eps) -1/2 (.f64 eps (neg.f64 x)))
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(.f64 eps (-.f64 (.f64 eps -1/2) x))

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
✓	4.2b	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 81 to 32 computations (60.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
1.0ms	eps	@	-inf	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
1.0ms	eps	@	inf	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
1.0ms	x	@	-inf	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
0.0ms	eps	@	0	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`*-commutative`
1042×	`associate-*r/`
798×	`associate-*l/`
388×	`add-sqr-sqrt`
376×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	387	34
2	5463	34

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 eps 1/2) (*.f64 eps 1/2)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))))

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1330×	`fma-def`
1064×	`unswap-sqr`
960×	`*-commutative`
690×	`distribute-lft-out`
648×	`associate--r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	2506
1	467	2308
2	2046	2044
3	6611	2034

Stop Event

1×	node limit

Counts

80 → 99

Calls

Call 1

Inputs
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x))))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)
(.f64 (sin.f64 (.f64 eps 1/2)) 1)
(.f64 1 (sin.f64 (.f64 eps 1/2)))
(.f64 (sqrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)))) 1)
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) (.f64 eps 1/2))) (cos.f64 (+.f64 (.f64 eps 1/2) (*.f64 eps 1/2))))) 2)
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) (.f64 eps 1/2))) (cos.f64 (+.f64 (.f64 eps 1/2) (*.f64 eps 1/2)))) -2) 2)
(pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 1)
(pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(pow.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)))))
(cbrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 3) (pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) -2) 3)))
(expm1.f64 (log1p.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(exp.f64 (log.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(log1p.f64 (expm1.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))

Outputs
(sin.f64 x)
(+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x)))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 1/2 (.f64 eps (cos.f64 x)) (fma.f64 (sin.f64 x) (.f64 eps (*.f64 eps -1/8)) (sin.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (.f64 1/2 (.f64 eps (cos.f64 x))) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (fma.f64 -1/48 (.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/8 (.f64 (sin.f64 x) (.f64 eps eps)) (+.f64 (sin.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))))
(fma.f64 (sin.f64 x) (.f64 eps (.f64 eps -1/8)) (fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (sin.f64 x)))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps)))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 (.f64 1/2 eps)))) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 1 (.f64 -1/2 (*.f64 x x)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 eps)) x) (+.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -1/2 (.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x x)))))
(+.f64 (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 eps))) (fma.f64 -1/2 (.f64 x (.f64 x (sin.f64 (.f64 1/2 eps)))) (.f64 (cos.f64 (.f64 1/2 eps)) (.f64 (pow.f64 x 3) -1/6))))
(fma.f64 x (cos.f64 (.f64 1/2 eps)) (fma.f64 (cos.f64 (.f64 1/2 eps)) (.f64 -1/6 (pow.f64 x 3)) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 1 (.f64 -1/2 (*.f64 x x))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 1 (.f64 -1/2 (.f64 x x)))) (.f64 (cos.f64 (.f64 1/2 eps)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x))))
(sin.f64 (.f64 1/2 (+.f64 eps (.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (.f64 (.f64 eps -1/2) eps)) (.f64 (sin.f64 x) eps))
(-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 (sin.f64 x) eps))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x)))))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 -1 (.f64 (sin.f64 x) eps) (.f64 -2 (.f64 (pow.f64 eps 3) (.f64 (sin.f64 x) -1/12)))))
(fma.f64 -1/2 (.f64 eps (.f64 eps (cos.f64 x))) (-.f64 (.f64 (.f64 (sin.f64 x) -1/12) (.f64 (pow.f64 eps 3) -2)) (.f64 (sin.f64 x) eps)))
(-.f64 (fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2) (.f64 (pow.f64 eps 3) (.f64 -2 (.f64 (sin.f64 x) -1/12)))) (.f64 (sin.f64 x) eps))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (.f64 -1 (.f64 eps (sin.f64 x))) (.f64 -2 (.f64 (pow.f64 eps 3) (+.f64 (.f64 -1/16 (sin.f64 x)) (.f64 -1/48 (sin.f64 x))))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (fma.f64 -1 (.f64 (sin.f64 x) eps) (.f64 -2 (.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))))
(+.f64 (-.f64 (.f64 (.f64 (sin.f64 x) -1/12) (.f64 (pow.f64 eps 3) -2)) (.f64 (sin.f64 x) eps)) (.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 (.f64 eps -1/2) eps))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (-.f64 (.f64 (pow.f64 eps 3) (.f64 -2 (.f64 (sin.f64 x) -1/12))) (.f64 (sin.f64 x) eps)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (-.f64 (.f64 2 x) (.f64 -1 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(.f64 -2 (+.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(.f64 (.f64 (sin.f64 (.f64 1/2 eps)) -2) (fma.f64 x (cos.f64 (.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 x x) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (.f64 x (cos.f64 (.f64 1/2 eps))) -2)) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 -2 (.f64 x x))))
(fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (.f64 x x) -2) (.f64 (.f64 x (cos.f64 (.f64 1/2 eps))) (.f64 (sin.f64 (*.f64 1/2 eps)) -2)))
(.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 (.f64 x (cos.f64 (.f64 1/2 eps))) -2) (.f64 (sin.f64 (.f64 1/2 eps)) (+.f64 (.f64 x x) -2))))
(+.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (+.f64 (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3)))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) x))))))
(fma.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (.f64 x x) (fma.f64 1/3 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps))))))))
(+.f64 (fma.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (.f64 x (cos.f64 (.f64 1/2 eps)))) (.f64 (.f64 1/3 (.f64 (cos.f64 (.f64 1/2 eps)) (pow.f64 x 3))) (sin.f64 (.f64 1/2 eps)))) (.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 -2 (.f64 x x))))
(fma.f64 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2) (+.f64 (.f64 x x) -2) (.f64 (.f64 (sin.f64 (.f64 1/2 eps)) (cos.f64 (.f64 1/2 eps))) (+.f64 (.f64 x -2) (.f64 (pow.f64 x 3) 1/3))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 eps)) (sin.f64 (.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(.f64 (sin.f64 (.f64 1/2 eps)) (.f64 -2 (sin.f64 (.f64 1/2 (fma.f64 x 2 eps)))))
(.f64 (sin.f64 (.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) 1)
(sin.f64 (*.f64 1/2 eps))
(.f64 (sin.f64 (.f64 eps 1/2)) 1)
(sin.f64 (*.f64 1/2 eps))
(.f64 1 (sin.f64 (.f64 eps 1/2)))
(sin.f64 (*.f64 1/2 eps))
(.f64 (sqrt.f64 (sin.f64 (.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))
(sin.f64 (*.f64 1/2 eps))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 eps 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 1)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 3)
(sin.f64 (*.f64 1/2 eps))
(pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) 1/3)
(sin.f64 (*.f64 1/2 eps))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 eps 1/2)))))
(sin.f64 (*.f64 1/2 eps))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3))
(sin.f64 (*.f64 1/2 eps))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(exp.f64 (log.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 eps 1/2))))
(sin.f64 (*.f64 1/2 eps))
(-.f64 (exp.f64 (log1p.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)))) 1)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(/.f64 (.f64 -2 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) (.f64 eps 1/2))) (cos.f64 (+.f64 (.f64 eps 1/2) (*.f64 eps 1/2))))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) -1)
(-.f64 -1 (/.f64 (cos.f64 eps) -1))
(neg.f64 (-.f64 1 (cos.f64 eps)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (.f64 eps 1/2) (.f64 eps 1/2))) (cos.f64 (+.f64 (.f64 eps 1/2) (*.f64 eps 1/2)))) -2) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 eps 1))) -1)
(-.f64 -1 (/.f64 (cos.f64 eps) -1))
(neg.f64 (-.f64 1 (cos.f64 eps)))
(pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 1)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) (sqrt.f64 -2)) 2)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(pow.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 3) 1/3)
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) -2))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(cbrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 3))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (.f64 eps 1/2)) 3) (pow.f64 (.f64 (sin.f64 (.f64 eps 1/2)) -2) 3)))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(expm1.f64 (log1p.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(exp.f64 (log.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(log1p.f64 (expm1.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))
✓	0.5b	(expm1.f64 (cos.f64 (+.f64 x eps)))
	4.3b	(cos.f64 (+.f64 x eps))
✓	5.6b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	0	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	eps	@	-inf	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	-inf	(expm1.f64 (cos.f64 (+.f64 x eps)))
0.0ms	x	@	0	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))

rewrite118.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`*-commutative`
866×	`associate-*r/`
700×	`distribute-lft-in`
684×	`distribute-rgt-in`
674×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	239	47
2	3103	47

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(expm1.f64 (cos.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (+.f64 (*.f64 (*.f64 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(cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))))

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-+r-`
1066×	`fma-def`
724×	`associate-r`
618×	`associate-l`
530×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	12355
1	1550	11797
2	7142	11797

Stop Event

1×	node limit

Counts

255 → 339

Calls

Call 1

Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (exp.f64 (cos.f64 eps)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (cos.f64 eps)) (.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (cos.f64 eps)) (.f64 (sin.f64 eps) x))) (+.f64 (.f64 (exp.f64 (cos.f64 eps)) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (.f64 1/6 (sin.f64 eps)) (.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 x)) 1)
(-.f64 (+.f64 (.f64 -1 (.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 x) 2)) (.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (.f64 -1 (.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))) 1)
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 x) 2)) (.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (.f64 -1 (.f64 eps (.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (.f64 (pow.f64 eps 3) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (.f64 1/2 (.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))) (exp.f64 (cos.f64 x)))) (exp.f64 (cos.f64 x))))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(cos.f64 eps)
(+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 eps) (pow.f64 x 2))) (.f64 -1 (.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (.f64 -1 (.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (cos.f64 (+.f64 x eps)) (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) 2) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (cos.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) 1) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(fma.f64 1 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 0)
(+.f64 1 (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) -1))
(+.f64 1 (-.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 1))
(+.f64 (exp.f64 (cos.f64 (+.f64 x eps))) -1)
(+.f64 -1 (exp.f64 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 1)
(-.f64 (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2) 2)
(*.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 1)
(*.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 (+.f64 x eps)))) 1) (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2)))
(/.f64 (.f64 1 (-.f64 (.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 (+.f64 x eps)))) 1)) (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (.f64 1 (-.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 3) 1)) (+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2)))
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 (+.f64 x eps)))) 1) 1) (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 3) 1) 1) (+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2)))
(pow.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 3))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 (+.f64 x eps)) (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 (+.f64 x eps)) (.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))) 1))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 1 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) 1))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(*.f64 (cos.f64 (+.f64 x eps)) 1)
(*.f64 1 (cos.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))))) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3))) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) 1) (+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))))
(pow.f64 (cos.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))

Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (.f64 -1 (.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (.f64 x x) (.f64 (sin.f64 eps) (neg.f64 x))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (.f64 -1 (.f64 x (sin.f64 eps))) (.f64 (+.f64 1/2 (.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (.f64 x (sin.f64 eps)) (.f64 (+.f64 1/2 (.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 -1 (+.f64 (+.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (+.f64 (.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (.f64 x (.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(.f64 -1 (.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps))) (.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (exp.f64 (cos.f64 eps)) 1)
(expm1.f64 (cos.f64 eps))
(-.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps))) 1)
(+.f64 (neg.f64 (.f64 (exp.f64 (cos.f64 eps)) (.f64 x (sin.f64 eps)))) (expm1.f64 (cos.f64 eps)))
(fma.f64 (neg.f64 (exp.f64 (cos.f64 eps))) (*.f64 x (sin.f64 eps)) (expm1.f64 (cos.f64 eps)))
(-.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (cos.f64 eps)) (.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (.f64 (exp.f64 (cos.f64 eps)) (.f64 x (sin.f64 eps))) (exp.f64 (cos.f64 eps))) (.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (.f64 (cos.f64 eps) -1/2)) (.f64 (.f64 x x) (exp.f64 (cos.f64 eps))))) -1)
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(sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 2))
(fabs.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
(cos.f64 (+.f64 eps x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
✓	0.1b	(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
	0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
✓	14.8b	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))

Compiler

Compiled 76 to 36 computations (52.6% saved)

series7.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
1.0ms	x	@	inf	(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
0.0ms	x	@	0	(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
0.0ms	eps	@	-inf	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
0.0ms	eps	@	inf	(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))

rewrite131.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`distribute-lft-in`
602×	`associate-*r/`
502×	`associate-*l/`
416×	`add-sqr-sqrt`
400×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	121
1	419	117
2	5175	117

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs

(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))

(*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))))

(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (*.f64 eps (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)) (*.f64 eps (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2)))) (-.f64 1 (*.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))) (sqrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))) 2) (cbrt.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x)) (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x)) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 1 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (cos.f64 x))) (*.f64 1 (*.f64 (*.f64 eps (*.f64 eps -1/2)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 4) 1/4))) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 4) 1/4)) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 4) 1/4)) (cos.f64 x)) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3)) (cos.f64 x)) (-.f64 (+.f64 (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/24 (pow.f64 eps 4))) (*.f64 (pow.f64 eps 4) 1/4)) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) 1 (*.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 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simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-r`
1076×	`associate-l`
946×	`times-frac`
712×	`associate-/l*`
542×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	24710
1	1514	24162

Stop Event

1×	node limit

Counts

246 → 326

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4)))))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (.f64 x (sin.f64 eps)))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (.f64 x (sin.f64 eps))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (sin.f64 eps))) (.f64 -1 (.f64 x (sin.f64 eps)))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x)))
(+.f64 (.f64 -1 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 1 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) (sqrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) 2) (cbrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))

Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(.f64 -1/2 (.f64 eps eps))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))
(fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))
(fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4))))))
(fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))))))
(fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 1/24 (.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4)))))))
(fma.f64 -1/2 (.f64 (.f64 x x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))))))))
(fma.f64 -1/2 (.f64 x (.f64 x (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))) (fma.f64 -1/720 (.f64 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (.f64 eps eps) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (pow.f64 x 4) 1/24))))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (cos.f64 x))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 -1/2 (.f64 (*.f64 eps eps) (cos.f64 x)))
(.f64 (.f64 eps eps) (*.f64 (cos.f64 x) -1/2))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) 1/24) (pow.f64 eps 4))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))
(.f64 (.f64 (cos.f64 x) 1/24) (pow.f64 eps 4))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps))))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (.f64 -1 (.f64 x (sin.f64 eps)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) 2) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x)))))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (.f64 (sin.f64 eps) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) 2) (.f64 (sin.f64 eps) (.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))))))))
(pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (.f64 (sin.f64 eps) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 eps) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 1 (.f64 (sin.f64 eps) (sin.f64 x)) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) (sqrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))))) 2) (.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) 2) (cbrt.f64 (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (.f64 eps -1/2))) (cos.f64 x))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps))) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (fma.f64 1/24 (pow.f64 eps 4) (.f64 eps (*.f64 eps -1/2))) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (*.f64 eps eps)))))

eval702.0ms (4.1%)

Compiler: Compiled 46777 to 22005 computations (53% saved)

prune426.0ms (2.5%)

Pruning

77 alts after pruning (68 fresh and 9 done)

	Pruned	Kept	Total
New	1449	21	1470
Fresh	10	47	57
Picked	1	0	1
Done	3	9	12
Total	1463	77	1540

Error

0.0b

Counts

1540 → 77

Alt Table

Click to see full alt table

Status	Error	Program
	6.7b	(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	43.6b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2)))
	35.1b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
	33.7b	(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
	23.1b	(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
	47.8b	(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
	49.0b	(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2)
	61.4b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
	39.7b	(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
	34.0b	(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
	39.4b	(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
	50.9b	(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
	33.8b	(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
	39.8b	(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
	47.8b	(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
	23.1b	(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
✓	40.0b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
	39.7b	(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
	39.5b	(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
	41.1b	(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
	38.0b	(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
	6.8b	(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
✓	23.2b	(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	33.6b	(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
	23.1b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
✓	23.1b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	39.7b	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
✓	47.8b	(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
	45.9b	(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
	39.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
	39.4b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
✓	39.5b	(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
	33.2b	(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
	61.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
	56.4b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
✓	39.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
	56.4b	(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
	39.4b	(-.f64 (cos.f64 eps) (cos.f64 x))
✓	39.4b	(-.f64 (cos.f64 eps) 1)
	6.8b	(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.1b	(+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	7.1b	(+.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	23.4b	(+.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
	38.5b	(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
	6.8b	(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	22.1b	(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	0.7b	(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	33.5b	(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	43.9b	(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
	6.9b	(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	34.1b	(+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	6.8b	(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
	37.9b	(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
	6.8b	(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
	61.4b	(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
	47.8b	(.f64 (-.f64 (.f64 eps -1/2) x) eps)
✓	48.0b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	38.5b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
	33.6b	(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) -2))
	39.6b	(*.f64 (sin.f64 x) (neg.f64 eps))
	33.6b	(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
	50.8b	(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
✓	51.0b	(.f64 eps (.f64 eps -1/2))
	53.8b	(*.f64 eps (neg.f64 x))
	54.1b	(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
	33.6b	(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
	16.7b	(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
	55.2b	(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
	57.6b	(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
	39.5b	(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
	61.4b	(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	55.3b	(fabs.f64 (+.f64 (cos.f64 eps) -1))
	55.1b	(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
	61.4b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
	39.5b	(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
	56.3b	0

Compiler

Compiled 1074 to 789 computations (26.5% saved)

regimes214.0ms (1.3%)

Counts

139 → 1

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) -2))
(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (fma.f64 1/24 (.f64 (cos.f64 x) (pow.f64 eps 4)) (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 x) (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 -1 (.f64 eps (sin.f64 x))))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))) 2)
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (pow.f64 (sin.f64 x) 3))) (+.f64 0 (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 eps) (cos.f64 x))) (neg.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))))
(+.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (/.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) -1) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 4) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))) (cos.f64 x))
(+.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 4))) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 2) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))) (fma.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x) (.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 x)) 3) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 x) 2) (.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 x)))))) (cos.f64 x))
(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x))

Outputs
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Calls

3 calls:

66.0ms	x
63.0ms	eps
43.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`eps`
0.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 2072 to 823 computations (60.3% saved)

regimes162.0ms (1%)

Counts

113 → 1

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) -2))
(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Outputs
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Calls

3 calls:

50.0ms	x
50.0ms	eps
33.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`eps`
0.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1373 to 574 computations (58.2% saved)

regimes333.0ms (2%)

Counts

112 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) -2))
(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (cos.f64 x)))
(+.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (cos.f64 x)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))) -1) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (neg.f64 eps) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (/.f64 (*.f64 (neg.f64 eps) (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (.f64 -1/2 (.f64 eps eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 1/6 (.f64 (sin.f64 x) (pow.f64 eps 3)) (.f64 (cos.f64 x) (.f64 -1/2 (.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(+.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 (cos.f64 (+.f64 eps eps)) 2)) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (sin.f64 x)) 1))
(-.f64 (*.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x))))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (sin.f64 eps) (sin.f64 x))))) 1))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (sin.f64 eps))))

Outputs

(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

(+.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

(fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

Calls

3 calls:

140.0ms	x
130.0ms	eps
32.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.4b	3	`eps`
6.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 1354 to 567 computations (58.1% saved)

bsearch77.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0006428242777848063	106485.74732276022
43.0ms	-0.4969919533941642	-4.1720221945106154e-11

Results

30.0ms	80×	body	1024	valid
26.0ms	183×	body	256	valid
8.0ms	30×	body	512	valid
7.0ms	11×	body	2048	valid

Compiler

Compiled 774 to 580 computations (25.1% saved)

regimes258.0ms (1.5%)

Counts

88 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) -2))
(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))
(+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -1 (-.f64 (cos.f64 (.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (fma.f64 2 x eps))))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (fma.f64 2 x eps)))))))

Outputs

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

(+.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) -1/2) (*.f64 -1/24 (pow.f64 eps 4)))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

Calls

3 calls:

104.0ms	eps
104.0ms	x
26.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 959 to 436 computations (54.5% saved)

bsearch76.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.0006428242777848063	106485.74732276022
42.0ms	-0.4969919533941642	-4.1720221945106154e-11

Results

26.0ms	68×	body	1024	valid
26.0ms	187×	body	256	valid
9.0ms	14×	body	2048	valid
9.0ms	35×	body	512	valid

Compiler

Compiled 774 to 580 computations (25.1% saved)

regimes291.0ms (1.7%)

Counts

86 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))
(-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (/.f64 (cos.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 1 (cos.f64 eps)))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 eps 1/2)))) -2))
(+.f64 (-.f64 (cos.f64 eps) (.f64 x (sin.f64 eps))) (+.f64 (.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2)) -1))
(-.f64 (+.f64 (cos.f64 eps) (-.f64 (.f64 (cos.f64 eps) (.f64 -1/2 (.f64 x x))) (.f64 x (sin.f64 eps)))) (cos.f64 x))

Outputs

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))

(-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))

Calls

3 calls:

145.0ms	x
100.0ms	eps
25.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	3	`eps`
6.8b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 909 to 410 computations (54.9% saved)

bsearch142.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.2846349327707478e-25	2.398484979422155e-17
90.0ms	-1.1164726635691601e+20	-5753675.255352547

Results

87.0ms	160×	body	1024	valid
30.0ms	73×	body	512	valid
12.0ms	22×	body	2048	valid
7.0ms	49×	body	256	valid

Compiler

Compiled 660 to 523 computations (20.8% saved)

regimes141.0ms (0.8%)

Counts

78 → 1

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) -2))
(.f64 (.f64 (sin.f64 (.f64 (+.f64 x (-.f64 eps x)) 1/2)) (sin.f64 (.f64 (+.f64 eps (+.f64 x x)) 1/2))) -2)
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(-.f64 (log.f64 (exp.f64 (cos.f64 eps))) 1)
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) 1)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fabs.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (fabs.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (-.f64 -1 (cos.f64 eps)))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (.f64 x (neg.f64 (sin.f64 eps))))
(fma.f64 (.f64 -1/2 (.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 -1/2 (cos.f64 x)) (.f64 eps eps)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (.f64 eps eps) (.f64 (cos.f64 x) -1/2)) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (-.f64 x x)))) (sin.f64 (.f64 1/2 (fma.f64 2 x eps)))))
(-.f64 (-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 eps eps)) 1) (cos.f64 x)) (.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (.f64 (.f64 x x) -1/2)) (.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 eps))) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) 3))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) 2))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (-.f64 (cos.f64 (+.f64 x eps)) (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (+.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) (-.f64 1 (cos.f64 (+.f64 x eps))))
(-.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 1/6) 6) (cos.f64 x))
(pow.f64 (cbrt.f64 (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))) 3)
(+.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps))))

Outputs
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))

Calls

3 calls:

34.0ms	eps
34.0ms	x
22.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
16.7b	1	`x`
16.7b	1	`eps`
16.7b	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 779 to 355 computations (54.4% saved)

regimes267.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

189.0ms	eps
54.0ms	x
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.1b	4	`x`
16.2b	3	`eps`
17.2b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 241 to 127 computations (47.3% saved)

bsearch122.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.0006428242777848063	106485.74732276022
88.0ms	-0.4969919533941642	-4.1720221945106154e-11

Results

74.0ms	69×	body	1024	valid
28.0ms	196×	body	256	valid
9.0ms	13×	body	2048	valid
6.0ms	26×	body	512	valid

Compiler

Compiled 470 to 333 computations (29.1% saved)

regimes143.0ms (0.8%)

Counts

28 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (.f64 (sin.f64 x) -2))

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

68.0ms	eps
50.0ms	x
18.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
19.1b	4	`x`
16.3b	3	`eps`
17.2b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 228 to 121 computations (46.9% saved)

bsearch82.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	0.0006428242777848063	106485.74732276022
39.0ms	-0.4969919533941642	-4.1720221945106154e-11

Results

33.0ms	87×	body	1024	valid
30.0ms	172×	body	256	valid
9.0ms	36×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 432 to 314 computations (27.3% saved)

regimes169.0ms (1%)

Counts

25 → 5

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))

Outputs
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(*.f64 (neg.f64 eps) (sin.f64 x))
(.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))

Calls

3 calls:

103.0ms	eps
45.0ms	x
16.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
20.3b	4	`x`
19.9b	5	`eps`
23.5b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 193 to 104 computations (46.1% saved)

bsearch238.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
55.0ms	5.687408524884308e-45	1.2433897268299887e-41
67.0ms	1.982905399523161e-94	4.259552514575259e-86
91.0ms	3.056167717806865e-132	3.6387101171764355e-122
24.0ms	-1.6405193484650653e-34	-1.1265856123958163e-34

Results

120.0ms	253×	body	1024	valid
68.0ms	96×	body	2048	valid
41.0ms	137×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 584 to 449 computations (23.1% saved)

regimes178.0ms (1%)

Counts

23 → 4

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
(*.f64 2 (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) 1)
(neg.f64 (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))

Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (cos.f64 eps) (cos.f64 x))

Calls

3 calls:

114.0ms	x
44.0ms	eps
15.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Error	Segments	Branch
26.1b	5	`x`
20.9b	4	`eps`
23.6b	2	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 176 to 92 computations (47.7% saved)

bsearch265.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
76.0ms	3.1039345200665983e-17	1.1853061032862889e-14
79.0ms	3.056167717806865e-132	3.6387101171764355e-122
109.0ms	-6.9387081752185766e-34	-1.6405193484650653e-34

Results

124.0ms	76×	body	512	valid
85.0ms	178×	body	1024	valid
41.0ms	61×	body	2048	valid
9.0ms	69×	body	256	valid

Compiler

Compiled 470 to 334 computations (28.9% saved)

regimes73.0ms (0.4%)

Counts

15 → 4

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(fabs.f64 (.f64 eps (-.f64 (.f64 eps -1/2) x)))
(.f64 eps (.f64 eps (*.f64 -1/2 (cos.f64 x))))
(-.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 1) 1)
(fma.f64 eps (neg.f64 x) (.f64 -1/2 (.f64 eps eps)))
(fabs.f64 (+.f64 (cos.f64 eps) -1))

Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (neg.f64 eps) (sin.f64 x))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

39.0ms	x
31.0ms	eps

Results

Error	Segments	Branch
26.1b	5	`x`
21.1b	4	`eps`

Compiler

Compiled 114 to 68 computations (40.4% saved)

bsearch159.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
42.0ms	3.1039345200665983e-17	1.1853061032862889e-14
74.0ms	3.056167717806865e-132	3.6387101171764355e-122
44.0ms	-6.9387081752185766e-34	-1.6405193484650653e-34

Results

79.0ms	188×	body	1024	valid
33.0ms	68×	body	512	valid
31.0ms	46×	body	2048	valid
11.0ms	82×	body	256	valid

Compiler

Compiled 456 to 334 computations (26.8% saved)

regimes77.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))
(-.f64 (cos.f64 eps) 1)

Outputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(-.f64 (cos.f64 eps) 1)

Calls

2 calls:

59.0ms	x
16.0ms	eps

Results

Error	Segments	Branch
38.2b	3	`x`
30.4b	3	`eps`

Compiler

Compiled 66 to 42 computations (36.4% saved)

bsearch83.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	3.1039345200665983e-17	1.1853061032862889e-14
45.0ms	-0.4969919533941642	-4.1720221945106154e-11

Results

31.0ms	165×	body	256	valid
30.0ms	82×	body	1024	valid
11.0ms	15×	body	2048	valid
7.0ms	26×	body	512	valid

Compiler

Compiled 356 to 262 computations (26.4% saved)

regimes12.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(/.f64 1 (/.f64 1 (.f64 eps (-.f64 (.f64 eps -1/2) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) 1/4) (.f64 x x)) eps) (+.f64 (*.f64 eps -1/2) x))

Outputs
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
47.8b	1	`x`
47.8b	1	`eps`

Compiler

Compiled 62 to 39 computations (37.1% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)

Outputs
(.f64 (-.f64 (.f64 eps -1/2) x) eps)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
47.8b	1	`x`
47.8b	1	`eps`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes14.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))

Outputs
(.f64 eps (.f64 eps -1/2))
(*.f64 eps (neg.f64 x))
(.f64 eps (.f64 eps -1/2))

Calls

2 calls:

10.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
51.0b	1	`x`
49.5b	3	`eps`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch120.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	1.8512541329447062e-142	3.056167717806865e-132
46.0ms	-1.728632361712961e-127	-1.1450936855296965e-128

Results

71.0ms	181×	body	1024	valid
43.0ms	68×	body	2048	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 254 to 186 computations (26.8% saved)

regimes7.0ms (0%)

Accuracy

Total -3.5b remaining (-6.4%)

Threshold costs -3.5b (-6.4%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(*.f64 eps (neg.f64 x))

Outputs
(*.f64 eps (neg.f64 x))

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
53.8b	1	`x`
53.8b	1	`eps`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative`
58×	`+-commutative`
32×	`sub-neg`
24×	`neg-mul-1`
24×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	134	1175
1	223	1159
2	272	1159
3	293	1159
4	303	1159
5	304	1159

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 5534023222112865/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5534023222112865/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (<=.f64 x -5800000) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 4088933776096177/324518553658426726783156020576256) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(if (<=.f64 eps -208967022709991/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/2305843009213693952) (-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -208967022709991/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/288230376151711744) (.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (if (<=.f64 eps 8048257981283417/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (-.f64 (.f64 eps -1/2) x) eps) (if (<=.f64 eps 8034690221294951/401734511064747568885490523085290650630550748445698208825344) (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 401214975811175/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1162941958872971/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -6640827866535439/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(if (<=.f64 eps -707271155930967/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (.f64 eps (.f64 eps -1/2)) (if (<=.f64 eps 1802009385784285/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (.f64 eps (neg.f64 x)) (.f64 eps (*.f64 eps -1/2))))
(*.f64 eps (neg.f64 x))
0

Outputs
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 x)) (-.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))))
(-.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (cos.f64 x) (-.f64 -1 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 x)))
(if (<=.f64 eps -3170534137668829/576460752303423488) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (if (<=.f64 eps 5534023222112865/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (fma.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))
(if (or (<=.f64 eps -3170534137668829/576460752303423488) (not (<=.f64 eps 5534023222112865/1152921504606846976))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 1/24 (pow.f64 eps 4))))))
(if (or (<=.f64 eps -3170534137668829/576460752303423488) (not (<=.f64 eps 5534023222112865/1152921504606846976))) (fma.f64 (+.f64 -1 (cos.f64 eps)) (cos.f64 x) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24))) (.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3170534137668829/576460752303423488) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 eps 5534023222112865/1152921504606846976) (+.f64 (.f64 (cos.f64 x) (-.f64 (.f64 (.f64 eps eps) -1/2) (.f64 -1/24 (pow.f64 eps 4)))) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 eps -3170534137668829/576460752303423488) (not (<=.f64 eps 5534023222112865/1152921504606846976))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (+.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (*.f64 1/24 (pow.f64 eps 4))))))
(if (or (<=.f64 eps -3170534137668829/576460752303423488) (not (<=.f64 eps 5534023222112865/1152921504606846976))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (-.f64 (.f64 (cos.f64 x) (+.f64 (.f64 (.f64 eps eps) -1/2) (.f64 (pow.f64 eps 4) 1/24))) (*.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 x -5800000) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (if (<=.f64 x 4088933776096177/324518553658426726783156020576256) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (.f64 1/2 eps)))) (-.f64 (.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))
(if (or (<=.f64 x -5800000) (not (<=.f64 x 4088933776096177/324518553658426726783156020576256))) (-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 eps) (sin.f64 x))) (.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (*.f64 eps 1/2)))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (-.f64 eps (.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(.f64 -2 (.f64 (sin.f64 (.f64 1/2 (+.f64 eps (.f64 2 x)))) (sin.f64 (*.f64 eps 1/2))))
(if (<=.f64 eps -208967022709991/72057594037927936) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8070450532247929/2305843009213693952) (-.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (cos.f64 x)) (.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -208967022709991/72057594037927936) (not (<=.f64 eps 8070450532247929/2305843009213693952))) (-.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (cos.f64 x) (.f64 eps (.f64 eps -1/2))) (.f64 eps (sin.f64 x))))
(if (<=.f64 eps -208967022709991/18014398509481984) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 3458764513820541/288230376151711744) (.f64 eps (-.f64 (.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (or (<=.f64 eps -208967022709991/18014398509481984) (not (<=.f64 eps 3458764513820541/288230376151711744))) (-.f64 (cos.f64 eps) (cos.f64 x)) (.f64 eps (-.f64 (.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))))
(if (<=.f64 eps -7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2)) (if (<=.f64 eps 8048257981283417/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (-.f64 (.f64 eps -1/2) x) eps) (if (<=.f64 eps 8034690221294951/401734511064747568885490523085290650630550748445698208825344) (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 -2 (pow.f64 (sin.f64 (.f64 1/2 eps)) 2))))))
(if (<=.f64 eps -7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) (if (<=.f64 eps 8048257981283417/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 eps (-.f64 (.f64 eps -1/2) x)) (if (<=.f64 eps 8034690221294951/401734511064747568885490523085290650630550748445698208825344) (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))))
(if (<=.f64 eps -7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2)) (if (<=.f64 eps 8048257981283417/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 8313932482964009/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 eps (-.f64 (.f64 eps -1/2) x)) (if (<=.f64 eps 8034690221294951/401734511064747568885490523085290650630550748445698208825344) (.f64 eps (neg.f64 (sin.f64 x))) (.f64 -2 (pow.f64 (sin.f64 (.f64 eps 1/2)) 2))))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 401214975811175/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 401214975811175/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 401214975811175/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1162941958872971/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (neg.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps 1162941958872971/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (+.f64 -1 (cos.f64 eps)))))
(if (<=.f64 eps -1008436129758323/1461501637330902918203684832716283019655932542976) (+.f64 -1 (cos.f64 eps)) (if (<=.f64 eps 1162941958872971/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (.f64 eps x)) (+.f64 -1 (cos.f64 eps)))))
(if (<=.f64 eps -6640827866535439/73786976294838206464) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7479138541346553/633825300114114700748351602688) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) 1)))
(if (or (<=.f64 eps -6640827866535439/73786976294838206464) (not (<=.f64 eps 7479138541346553/633825300114114700748351602688))) (+.f64 -1 (cos.f64 eps)) (-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x)))
(-.f64 (.f64 eps (.f64 eps -1/2)) (*.f64 eps x))
(.f64 (-.f64 (.f64 eps -1/2) x) eps)
(.f64 eps (-.f64 (.f64 eps -1/2) x))
(if (<=.f64 eps -707271155930967/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (.f64 eps (.f64 eps -1/2)) (if (<=.f64 eps 1802009385784285/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (.f64 eps (neg.f64 x)) (.f64 eps (*.f64 eps -1/2))))
(if (or (<=.f64 eps -707271155930967/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (not (<=.f64 eps 1802009385784285/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072))) (.f64 eps (.f64 eps -1/2)) (*.f64 eps (neg.f64 x)))
(*.f64 eps (neg.f64 x))
0

Compiler

Compiled 438 to 298 computations (32% saved)

soundness189.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1316×	`associate-/r/`
1148×	`associate-/l*`
1106×	`associate-r`
976×	`associate-l`
844×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	645	19429
1	1772	18647
0	418	6324
1	1114	5792
2	4873	5694

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 493 to 249 computations (49.5% saved)

end225.0ms (1.3%)

Compiler: Compiled 406 to 220 computations (45.8% saved)

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21

Iter	Nodes	Cost
0	13	42
1	19	42
2	27	42
3	41	42
4	56	42
5	84	42
6	172	42
7	237	42
8	318	42
9	399	42
10	447	42
11	451	42
0	2	2

Iter	Nodes	Cost
0	9	21
1	12	21
2	17	21
3	25	21
4	34	21
5	51	21
6	103	21
7	143	21
8	187	21
9	230	21
10	254	21
11	256	21